Little known fact: the Soviets used many cavalry units right until the end of the war. These troops really fought like dragoons, riding to the battlefield but dismounting before actually doing battle; something like motorized infantry without motors. In rough terrain (like much of the little-roaded USSR was at the time), the horses performed better than oil-based transport.

When the enemy is driven back, we have failed. When he is cut off, encircled and dispersed, we have succeeded. - Aleksandr Suvorov.

The same way as infantry in trucks; motorized infantry also dismounts before he actual fighting starts. You use the horse for transport TO the battlefield, dismount there, and fight as infantry. The advantage is the mobility/flexibility of deployment.

When the enemy is driven back, we have failed. When he is cut off, encircled and dispersed, we have succeeded. - Aleksandr Suvorov.